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Finding the Third Proportional to 233,058 and 352,737

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Solution

The third proportional to 233,058 and 352,737 is: 533,873.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,058 : 352,737 = 352,737 : x
  2. Step 2: Convert to fraction form
    233,058/352,737 = 352,737/x
  3. Step 3: Cross multiply
    233,058x = 352,737 × 352,737
  4. Step 4: Simplify right side
    233,058x = 124,423,391,169
  5. Step 5: Solve for x
    x = 124,423,391,169/233,058
  6. Step 6: Final answer
    x = 533,873.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.